Multiple choice

When two dice are thrown simultaneously, the probability of getting the same even number on both the dice is

  1. $\displaystyle \frac{1}{2}$
  2. $\displaystyle \frac{5}{12}$
  3. $\displaystyle \frac{1}{12}$
  4. $\displaystyle \frac{11}{12}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total outcomes = 36. Favorable outcomes for same even number: (2,2), (4,4), (6,6). Total 3 outcomes. Probability = 3/36 = 1/12.

AI explanation

When two dice are thrown, the total number of possible outcomes is 6 times 6, which is 36. The favorable outcomes for getting the same even number on both dice are (2, 2), (4, 4) and (6, 6), giving 3 favorable outcomes. The probability is the ratio of favorable outcomes to total outcomes, which is 3 divided by 36. The result is 1/12.